Mathematics of Quantization and Quantum Fields / Jan Derezinski  

Public ISBD Titre : Mathematics of Quantization and Quantum Fields Type de document : document électronique Auteurs : Jan Derezinski, Auteur ; Christian Gérard, Auteur Editeur : Cambridge [United Kingdom] : Cambridge University Press Année de publication : 2022 Importance : 688 p. Présentation : ill. ISBN/ISSN/EAN : 978-1-00-929087-6 Langues : Anglais (eng) Catégories : Open Access Publications Tags : Quantum Field Theory  Canonical Quantization  Path Integral  Operator Algebra  Functional Analysis  Hilbert Space  Renormalization  Symplectic Geometry  Boson and Fermion Fock Spaces  Gauge Symmetry Index. décimale : 530.12 Mécanique quantique Résumé : Unifying topics that are scattered throughout the literature, this book offers a definitive review of mathematical aspects of quantization and quantum field theory. It presents both basic and advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. It begins with a discussion of the mathematical structures underlying free bosonic or fermionic fields: tensors, algebras, Fock spaces, and CCR and CAR representations. Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in mathematics and physics. En ligne : https://doi.org/10.1017/9781009290876 Mathematics of Quantization and Quantum Fields [document électronique] / Jan Derezinski, Auteur ; Christian Gérard, Auteur . - Cambridge (United Kingdom) : Cambridge University Press, 2022 . - 688 p. : ill. ISBN : 978-1-00-929087-6 Langues : Anglais (eng) Catégories : Open Access Publications Tags : Quantum Field Theory  Canonical Quantization  Path Integral  Operator Algebra  Functional Analysis  Hilbert Space  Renormalization  Symplectic Geometry  Boson and Fermion Fock Spaces  Gauge Symmetry Index. décimale : 530.12 Mécanique quantique Résumé : Unifying topics that are scattered throughout the literature, this book offers a definitive review of mathematical aspects of quantization and quantum field theory. It presents both basic and advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. It begins with a discussion of the mathematical structures underlying free bosonic or fermionic fields: tensors, algebras, Fock spaces, and CCR and CAR representations. Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in mathematics and physics. En ligne : https://doi.org/10.1017/9781009290876

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